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4 years ago

Which expression is a factor of 2xy + 6x − 3y − 9? y − 3 2x + 3y x + 3 2x − 3

Mathematics

2 answers:

Sergeu [11.5K]4 years ago

7 0

Answer:

$2x - 3$

Step-by-step explanation:

The given expression is

$2xy+ 6x - 3y - 9$

Let us factor the expression.

Factor the GCF of each pair;

$2x(y + 3) - 3(y + 3)$

Factor again to obtain:

$(y + 3)(2x - 3)$

The correct choice is 2x-3

REY [17]4 years ago

3 0

Answer: D) 2x - 3

Step-by-step explanation:

Factor using the Grouping Method

2xy + 6x + -3y - 9

2x(y + 3) + -3(y + 3)

Since they have a common factor (y + 3), the grouping method can be used - the outside is one factor and the common factor is the other.

⇒ (2x - 3)(y + 3)

2x - 3 is provided as one of the options. y + 3 is not given as an option

You might be interested in

The circumference of an NBA-approved basketball is 29.6 in. Given that the radius of Earth is about 6400 km, how many basketball

ella [17]

Answer:

167,886,383 basketballs

Step-by-step explanation:

We are asked to find how many basketballs would take to circle around the equator. We have given the earth's radius. So, we need the formula to obtain it's perimeter. Thus:

$Perimeter = Pi*diameter [m]\\Where Pi = 3.14$

Earth's diameter is simply radius*2. It means:

$P= 3.14*6400*2 = 40,192 [km]$

On the other hand, we have a basketball crcumference; however, we need to obtain its diameter so that we can later calculate how many basketballs fit on earth's equator by simply dividing earth's circumference by a basketball's diameter.

Diameter of a basketball:

$D= Perimeter /Pi [m]$

We need to change units to fit in the international system.

29.6 in to cm = $29.6*2.54 = 75.184 [cm]$

Then:

$Diameter=75.184/3.14 = 23.94 [cm]$

We have to convert earth's perimeter in km to cm:

$Equator=40192[km]*100000=4,019,200,000 [cm]$

Finally, dividing total earth's circumference by a basketball diameter:

$Totalbasketballs=4,019,200,000/23.94= 167,886,383 [basketballs]$

8 0

3 years ago

Can 48/186 be simplified?

OLEGan [10]

48/186 Simplified is ↓

8
—— = 0.25806
31

3 0

4 years ago

There is a total of 2,512 people attending the fun fair. 5/8 of sttemdees are students and 1/4 of attendees are parents. the res

kvv77 [185]

Answer:

314 of the people attending the fun fair are people living in the neighborhood

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Number of people attending the fun fair = 2,512

Fraction of people attending the fun fair that are students = 5/8

Fraction of people attending the fun fair that are parents = 1/4

Rest of the people attending the fun fair lives in the neighborhood

2. Let's calculate the number of students, parents and people living in the neighborhood

Students:

Fraction of people attending the fun fair that are students = 5/8

5/8 * 2,512 = 1,570

1,570 of the people attending the fun fair are students

Parents:

Fraction of people attending the fun fair that are parents = 1/4

1/4 * 2,512 = 628

628 of the people attending the fun fair are parents

People living in the neighborhood

2,512 - 1,570 - 628 = 314

314 of the people attending the fun fair are people living in the neighborhood

8 0

3 years ago

Suzy regularly cuts across her neighbor's yard to get to school in the morning. How much distance does she save by cutting acros

podryga [215]

She would have to walk 12+24 which is 36 but she only has to walk:
√12²+24² = 26.8

36-26.8=9.2

She saves 9.2 ft

Hope this helps :)

7 0

3 years ago

If f(x) = 2x2, what is f(a+3)?

Bond [772]

Answer:

Step-by-step explanation:

2×2=4 and 4+3is 7533292928£82(82828#9#8£36628283782827

4 0

3 years ago